IDEAS home Printed from https://ideas.repec.org/a/ids/ijores/v3y2008i5p575-603.html
   My bibliography  Save this article

Lattice path approach to busy period density of queueing system C 2 /C 2 /1

Author

Listed:
  • Manju Agarwal
  • Bidisha Borkakaty
  • Kanwar Sen

Abstract

The paper aims at busy period analysis of non-Markovian queuing system GI/G/1 starting initially with i0 customers, through lattice path approach. Both interarrival and service time distributions are approximated by two-phase Cox distributions, C2, that have Markovian property, amenable to the application of lattice paths combinatorial analysis. Distributions having rational Laplace–Stieltjes transform and square coefficient of variation lying in [1/2∞) form a very wide class of distributions. As any distribution of this class can be approximated by C2, therefore, the use of C2 has led us to achieve results applicable to almost any real life queuing system GI/G/1 occurring in computer systems, communication systems, manufacturing systems, etc. Numerical computations have been performed for different sets of values of the parameters involved using software package Mathematica and represented graphically.

Suggested Citation

  • Manju Agarwal & Bidisha Borkakaty & Kanwar Sen, 2008. "Lattice path approach to busy period density of queueing system C 2 /C 2 /1," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 3(5), pages 575-603.
    • Handle: RePEc:ids:ijores:v:3:y:2008:i:5:p:575-603
    as

    Download full text from publisher

    File URL: http://www.inderscience.com/link.php?id=19169
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ids:ijores:v:3:y:2008:i:5:p:575-603. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sarah Parker (email available below). General contact details of provider: http://www.inderscience.com/browse/index.php?journalID=170 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.